Finding the Third Proportional to 165.75 and 273.50
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Solution
The third proportional to 165.75 and 273.50 is: 451.30
Step by Step Solution
- Step 1: Write the proportion equation
165.75 : 273.50 = 273.50 : x - Step 2: Convert to fraction form
165.75/273.50 = 273.50/x - Step 3: Cross multiply
165.75x = 273.50 × 273.50 - Step 4: Simplify right side
165.75x = 74,802.25 - Step 5: Solve for x
x = 74,802.25/165.75 - Step 6: Final answer
x = 451.30
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Why These Related Problems?
These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.